Abstract This article investigates the Graetz problem for an inelastic power-law fluid by incorporating the effects of homogeneous slippery surface(s). The energy equation with viscous dissipation term is handled by employing the separation of variable method supplemented with the Matlab based algorithm Bvp4c for both kinds of thermal conditions, namely isothermal and isoflux conditions. The graphical results of average temperature and local Nusselt number are displayed and discussed in the forms of main effect brought by the emerging parameters such as slip length, power-law index and Brinkman number. The analysis predicts that interplay among the fluid characteristics, wall properties and dissipation effect can lead to an increase in the overall convective heat transfer and therefore, this analysis is potentially useful in the manufacturing of several bio-fluidic and micro-fluidic devices.

中文翻译：

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在存在粘性耗散的情况下，幂律流体通过具有均匀滑壁的管道的热进入流

摘要 本文通过结合均匀光滑表面的影响研究了非弹性幂律流体的 Graetz 问题。具有粘性耗散项的能量方程采用变量分离法，辅以基于Matlab的算法Bvp4c，对两种热条件，即等温和等通量条件进行处理。平均温度和局部努塞尔数的图形结果以滑移长度、幂律指数和布林克曼数等新兴参数带来的主效应的形式显示和讨论。分析预测，流体特性、壁面特性和耗散效应之间的相互作用会导致整体对流传热的增加，因此，